Plane Answers to Complex Questions

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Publisher : Springer Science & Business Media
ISBN 13 : 1441998160
Total Pages : 505 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Plane Answers to Complex Questions by : Ronald Christensen

Download or read book Plane Answers to Complex Questions written by Ronald Christensen and published by Springer Science & Business Media. This book was released on 2011-05-18 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a wide-ranging introduction to the use and theory of linear models for analyzing data. The author's emphasis is on providing a unified treatment of linear models, including analysis of variance models and regression models, based on projections, orthogonality, and other vector space ideas. Every chapter comes with numerous exercises and examples that make it ideal for a graduate-level course. All of the standard topics are covered in depth: ANOVA, estimation including Bayesian estimation, hypothesis testing, multiple comparisons, regression analysis, and experimental design models. In addition, the book covers topics that are not usually treated at this level, but which are important in their own right: balanced incomplete block designs, testing for lack of fit, testing for independence, models with singular covariance matrices, variance component estimation, best linear and best linear unbiased prediction, collinearity, and variable selection. This new edition includes a more extensive discussion of best prediction and associated ideas of R2, as well as new sections on inner products and perpendicular projections for more general spaces and Milliken and Graybill’s generalization of Tukey’s one degree of freedom for nonadditivity test.

Plane Answers to Complex Questions

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Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Plane Answers to Complex Questions by : Ronald Christensen

Download or read book Plane Answers to Complex Questions written by Ronald Christensen and published by Springer Science & Business Media. This book was released on 1996 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a wide-ranging introduction to the use of linear models in analyzing data. The author's emphasis is on providing a unified treatment of the analysis of variance models and regression models by presenting a vector space and projections approach to the subject. Every chapter comes with numerous exercises and examples, which will make it ideal for a graduate-level course on this subject.

Plane Answers to Complex Questions

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1475724772
Total Pages : 467 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Plane Answers to Complex Questions by : Ronald Christensen

Download or read book Plane Answers to Complex Questions written by Ronald Christensen and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Plane Answers has many additions and a couple of deletions. New material includes additional illustrative examples in Ap pendices A and B and Chapters 2 and 3, as well as discussions of Bayesian estimation, near replicate lack of fit tests, testing the independence assump tion, testing variance components, the interblock analysis for balanced in complete block designs, nonestimable constraints, analysis of unreplicated experiments using normal plots, tensors, and properties of Kronecker prod ucts and Vee operators. The book contains an improved discussion of the relation between ANOVA and regression, and an improved presentation of general Gauss-Markov models. The primary material that has been deleted are the discussions of weighted means and of log-linear models. The mate rial on log-linear models was included in Christensen (1990b), so it became redundant here. Generally, I have tried to clean up the presentation of ideas wherever it seemed obscure to me. Much of the work on the second edition was done while on sabbatical at the University of Canterbury in Christchurch, New Zealand. I would par ticularly like to thank John Deely for arranging my sabbatical. Through their comments and criticisms, four people were particularly helpful in con structing this new edition. I would like to thank Wes Johnson, Snehalata Huzurbazar, Ron Butler, and Vance Berger.

Theory of Linear Models

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Publisher : Routledge
ISBN 13 : 1351408615
Total Pages : 244 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Theory of Linear Models by : Bent Jorgensen

Download or read book Theory of Linear Models written by Bent Jorgensen and published by Routledge. This book was released on 2019-01-14 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a self-contained exposition of the theory of linear models, this treatise strikes a compromise between theory and practice, providing a sound theoretical basis while putting the theory to work in important cases.

Advanced Linear Modeling

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Publisher : Springer Nature
ISBN 13 : 3030291642
Total Pages : 618 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Advanced Linear Modeling by : Ronald Christensen

Download or read book Advanced Linear Modeling written by Ronald Christensen and published by Springer Nature. This book was released on 2019-12-20 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces several topics related to linear model theory, including: multivariate linear models, discriminant analysis, principal components, factor analysis, time series in both the frequency and time domains, and spatial data analysis. This second edition adds new material on nonparametric regression, response surface maximization, and longitudinal models. The book provides a unified approach to these disparate subjects and serves as a self-contained companion volume to the author's Plane Answers to Complex Questions: The Theory of Linear Models. Ronald Christensen is Professor of Statistics at the University of New Mexico. He is well known for his work on the theory and application of linear models having linear structure.

Log-Linear Models

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Publisher : Springer Science & Business Media
ISBN 13 : 1475741111
Total Pages : 420 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Log-Linear Models by : Ronald Christensen

Download or read book Log-Linear Models written by Ronald Christensen and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines log-linear models for contingency tables. Logistic re gression and logistic discrimination are treated as special cases and gener alized linear models (in the GLIM sense) are also discussed. The book is designed to fill a niche between basic introductory books such as Fienberg (1980) and Everitt (1977) and advanced books such as Bishop, Fienberg, and Holland (1975), Haberman (1974), and Santner and Duffy (1989). lt is primarily directed at advanced Masters degree students in Statistics but it can be used at both higher and lower levels. The primary theme of the book is using previous knowledge of analysis of variance and regression to motivate and explicate the use of log-linear models. Of course, both the analogies and the distinctions between the different methods must be kept in mind. The book is written at several levels. A basic introductory course would take material from Chapters I, II (deemphasizing Section II. 4), III, Sec tions IV. 1 through IV. 5 (eliminating the material on graphical models), Section IV. lü, Chapter VII, and Chapter IX. The advanced modeling ma terial at the end of Sections VII. 1, VII. 2, and possibly the material in Section IX. 2 should be deleted in a basic introductory course. For Mas ters degree students in Statistics, all the material in Chapters I through V, VII, IX, and X should be accessible. For an applied Ph. D.

Advanced Linear Modeling

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Publisher : Springer Science & Business Media
ISBN 13 : 1475738471
Total Pages : 412 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Advanced Linear Modeling by : Ronald Christensen

Download or read book Advanced Linear Modeling written by Ronald Christensen and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces several topics related to linear model theory, including: multivariate linear models, discriminant analysis, principal components, factor analysis, time series in both the frequency and time domains, and spatial data analysis. This second edition adds new material on nonparametric regression, response surface maximization, and longitudinal models. The book provides a unified approach to these disparate subjects and serves as a self-contained companion volume to the author's Plane Answers to Complex Questions: The Theory of Linear Models. Ronald Christensen is Professor of Statistics at the University of New Mexico. He is well known for his work on the theory and application of linear models having linear structure.

Statistical Method from the Viewpoint of Quality Control

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Publisher : Courier Corporation
ISBN 13 : 9780486652320
Total Pages : 218 pages
Book Rating : 4.6/5 (523 download)

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Book Synopsis Statistical Method from the Viewpoint of Quality Control by : Walter Andrew Shewhart

Download or read book Statistical Method from the Viewpoint of Quality Control written by Walter Andrew Shewhart and published by Courier Corporation. This book was released on 1986-01-01 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important text offers lucid explanation of how to regulate variables and maintain control over statistics in order to achieve quality control over manufactured products, crops and data. Topics include statistical control, establishing limits of variability, measurements of physical properties and constants, and specification of accuracy and precision. First inexpensive paperback edition.

Linear Models in Statistics

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Publisher : John Wiley & Sons
ISBN 13 : 0470192607
Total Pages : 690 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Linear Models in Statistics by : Alvin C. Rencher

Download or read book Linear Models in Statistics written by Alvin C. Rencher and published by John Wiley & Sons. This book was released on 2008-01-07 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to the theory and application of linear models—now in a valuable new edition Since most advanced statistical tools are generalizations of the linear model, it is neces-sary to first master the linear model in order to move forward to more advanced concepts. The linear model remains the main tool of the applied statistician and is central to the training of any statistician regardless of whether the focus is applied or theoretical. This completely revised and updated new edition successfully develops the basic theory of linear models for regression, analysis of variance, analysis of covariance, and linear mixed models. Recent advances in the methodology related to linear mixed models, generalized linear models, and the Bayesian linear model are also addressed. Linear Models in Statistics, Second Edition includes full coverage of advanced topics, such as mixed and generalized linear models, Bayesian linear models, two-way models with empty cells, geometry of least squares, vector-matrix calculus, simultaneous inference, and logistic and nonlinear regression. Algebraic, geometrical, frequentist, and Bayesian approaches to both the inference of linear models and the analysis of variance are also illustrated. Through the expansion of relevant material and the inclusion of the latest technological developments in the field, this book provides readers with the theoretical foundation to correctly interpret computer software output as well as effectively use, customize, and understand linear models. This modern Second Edition features: New chapters on Bayesian linear models as well as random and mixed linear models Expanded discussion of two-way models with empty cells Additional sections on the geometry of least squares Updated coverage of simultaneous inference The book is complemented with easy-to-read proofs, real data sets, and an extensive bibliography. A thorough review of the requisite matrix algebra has been addedfor transitional purposes, and numerous theoretical and applied problems have been incorporated with selected answers provided at the end of the book. A related Web site includes additional data sets and SAS® code for all numerical examples. Linear Model in Statistics, Second Edition is a must-have book for courses in statistics, biostatistics, and mathematics at the upper-undergraduate and graduate levels. It is also an invaluable reference for researchers who need to gain a better understanding of regression and analysis of variance.

Naked Statistics: Stripping the Dread from the Data

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Publisher : W. W. Norton & Company
ISBN 13 : 0393089827
Total Pages : 307 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis Naked Statistics: Stripping the Dread from the Data by : Charles Wheelan

Download or read book Naked Statistics: Stripping the Dread from the Data written by Charles Wheelan and published by W. W. Norton & Company. This book was released on 2013-01-07 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: A New York Times bestseller "Brilliant, funny…the best math teacher you never had." —San Francisco Chronicle Once considered tedious, the field of statistics is rapidly evolving into a discipline Hal Varian, chief economist at Google, has actually called "sexy." From batting averages and political polls to game shows and medical research, the real-world application of statistics continues to grow by leaps and bounds. How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more. For those who slept through Stats 101, this book is a lifesaver. Wheelan strips away the arcane and technical details and focuses on the underlying intuition that drives statistical analysis. He clarifies key concepts such as inference, correlation, and regression analysis, reveals how biased or careless parties can manipulate or misrepresent data, and shows us how brilliant and creative researchers are exploiting the valuable data from natural experiments to tackle thorny questions. And in Wheelan’s trademark style, there’s not a dull page in sight. You’ll encounter clever Schlitz Beer marketers leveraging basic probability, an International Sausage Festival illuminating the tenets of the central limit theorem, and a head-scratching choice from the famous game show Let’s Make a Deal—and you’ll come away with insights each time. With the wit, accessibility, and sheer fun that turned Naked Economics into a bestseller, Wheelan defies the odds yet again by bringing another essential, formerly unglamorous discipline to life.

How Many Guinea Pigs Can Fit on a Plane?

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Publisher :
ISBN 13 : 1250072298
Total Pages : 146 pages
Book Rating : 4.2/5 (5 download)

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Book Synopsis How Many Guinea Pigs Can Fit on a Plane? by : Laura Overdeck

Download or read book How Many Guinea Pigs Can Fit on a Plane? written by Laura Overdeck and published by . This book was released on 2017-06-06 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Answers to unusual questions, using mathematics. First two questions, as examples: How many birds would it take to pick you up and fly with you?; and, How many bees does it take to make one jar of honey?

Complex Algebraic Curves

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Publisher : Cambridge University Press
ISBN 13 : 9780521423533
Total Pages : 278 pages
Book Rating : 4.4/5 (235 download)

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Book Synopsis Complex Algebraic Curves by : Frances Clare Kirwan

Download or read book Complex Algebraic Curves written by Frances Clare Kirwan and published by Cambridge University Press. This book was released on 1992-02-20 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and arise in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.

Linear Models for Multivariate, Time Series, and Spatial Data

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Publisher : Springer Science & Business Media
ISBN 13 : 1475741030
Total Pages : 329 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Linear Models for Multivariate, Time Series, and Spatial Data by : Ronald Christensen

Download or read book Linear Models for Multivariate, Time Series, and Spatial Data written by Ronald Christensen and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained companion volume to the authors book "Plane Answers to Complex Questions: The Theory of Linear Models". It provides introductions to several topics related to linear model theory: multivariate linear models, discriminant analysis, principal components, factor analysis, time series in both the frequency and time domains, and spatial data analysis (geostatistics). The purpose of this volume is to use the three fundamental ideas of best linear prediction, projections, and Mahalanobis' distance to exploit their properties in examining multivariate, time series and spatial data. Ronald Christensen is Professor of Statistics at the University of New Mexico, and is recognised internationally as an expert in the theory and application of linear models.

Log-Linear Models and Logistic Regression

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226249
Total Pages : 498 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Log-Linear Models and Logistic Regression by : Ronald Christensen

Download or read book Log-Linear Models and Logistic Regression written by Ronald Christensen and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary focus here is on log-linear models for contingency tables, but in this second edition, greater emphasis has been placed on logistic regression. The book explores topics such as logistic discrimination and generalised linear models, and builds upon the relationships between these basic models for continuous data and the analogous log-linear and logistic regression models for discrete data. It also carefully examines the differences in model interpretations and evaluations that occur due to the discrete nature of the data. Sample commands are given for analyses in SAS, BMFP, and GLIM, while numerous data sets from fields as diverse as engineering, education, sociology, and medicine are used to illustrate procedures and provide exercises. Throughoutthe book, the treatment is designed for students with prior knowledge of analysis of variance and regression.

Linear Models and Time-Series Analysis

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Publisher : John Wiley & Sons
ISBN 13 : 1119431905
Total Pages : 896 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Linear Models and Time-Series Analysis by : Marc S. Paolella

Download or read book Linear Models and Time-Series Analysis written by Marc S. Paolella and published by John Wiley & Sons. This book was released on 2018-12-17 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and timely edition on an emerging new trend in time series Linear Models and Time-Series Analysis: Regression, ANOVA, ARMA and GARCH sets a strong foundation, in terms of distribution theory, for the linear model (regression and ANOVA), univariate time series analysis (ARMAX and GARCH), and some multivariate models associated primarily with modeling financial asset returns (copula-based structures and the discrete mixed normal and Laplace). It builds on the author's previous book, Fundamental Statistical Inference: A Computational Approach, which introduced the major concepts of statistical inference. Attention is explicitly paid to application and numeric computation, with examples of Matlab code throughout. The code offers a framework for discussion and illustration of numerics, and shows the mapping from theory to computation. The topic of time series analysis is on firm footing, with numerous textbooks and research journals dedicated to it. With respect to the subject/technology, many chapters in Linear Models and Time-Series Analysis cover firmly entrenched topics (regression and ARMA). Several others are dedicated to very modern methods, as used in empirical finance, asset pricing, risk management, and portfolio optimization, in order to address the severe change in performance of many pension funds, and changes in how fund managers work. Covers traditional time series analysis with new guidelines Provides access to cutting edge topics that are at the forefront of financial econometrics and industry Includes latest developments and topics such as financial returns data, notably also in a multivariate context Written by a leading expert in time series analysis Extensively classroom tested Includes a tutorial on SAS Supplemented with a companion website containing numerous Matlab programs Solutions to most exercises are provided in the book Linear Models and Time-Series Analysis: Regression, ANOVA, ARMA and GARCH is suitable for advanced masters students in statistics and quantitative finance, as well as doctoral students in economics and finance. It is also useful for quantitative financial practitioners in large financial institutions and smaller finance outlets.

Estimation and Inferential Statistics

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Publisher : Springer
ISBN 13 : 8132225147
Total Pages : 335 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Estimation and Inferential Statistics by : Pradip Kumar Sahu

Download or read book Estimation and Inferential Statistics written by Pradip Kumar Sahu and published by Springer. This book was released on 2015-11-03 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the meaning of statistical inference and estimation. Statistical inference is concerned with the problems of estimation of population parameters and testing hypotheses. Primarily aimed at undergraduate and postgraduate students of statistics, the book is also useful to professionals and researchers in statistical, medical, social and other disciplines. It discusses current methodological techniques used in statistics and related interdisciplinary areas. Every concept is supported with relevant research examples to help readers to find the most suitable application. Statistical tools have been presented by using real-life examples, removing the “fear factor” usually associated with this complex subject. The book will help readers to discover diverse perspectives of statistical theory followed by relevant worked-out examples. Keeping in mind the needs of readers, as well as constantly changing scenarios, the material is presented in an easy-to-understand form.

Analysis of Variance, Design, and Regression

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Author :
Publisher : CRC Press
ISBN 13 : 1498730191
Total Pages : 645 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Analysis of Variance, Design, and Regression by : Ronald Christensen

Download or read book Analysis of Variance, Design, and Regression written by Ronald Christensen and published by CRC Press. This book was released on 2018-09-03 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of Variance, Design, and Regression: Linear Modeling for Unbalanced Data, Second Edition presents linear structures for modeling data with an emphasis on how to incorporate specific ideas (hypotheses) about the structure of the data into a linear model for the data. The book carefully analyzes small data sets by using tools that are easily scaled to big data. The tools also apply to small relevant data sets that are extracted from big data. New to the Second Edition Reorganized to focus on unbalanced data Reworked balanced analyses using methods for unbalanced data Introductions to nonparametric and lasso regression Introductions to general additive and generalized additive models Examination of homologous factors Unbalanced split plot analyses Extensions to generalized linear models R, Minitab®, and SAS code on the author’s website The text can be used in a variety of courses, including a yearlong graduate course on regression and ANOVA or a data analysis course for upper-division statistics students and graduate students from other fields. It places a strong emphasis on interpreting the range of computer output encountered when dealing with unbalanced data.